Category: Relation and Functions

Question Number 99839 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{let}{\mathrm{x}}_0=1\mathrm{and}{\mathrm{x}}_{\mathrm{n}+1}=\ln ({\mathrm{e}}^{{\mathrm{x}}_{\mathrm{n}}}-{\mathrm{x}}_{\mathrm{n}})$$$$1)\mathrm{prove}\mathrm{that}{\mathrm{x}}_{\mathrm{n}}\to 0$$$$2)\mathrm{prove}\mathrm{that}\mathrm{\Sigma }{\mathrm{x}}_{\mathrm{n}}\mathrm{converges}\mathrm{and}\mathrm{ddyermine}\mathrm{its}\mathrm{sum}$$…

Question Number 99828 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{let}\mathrm{A}=\left(\begin{array}{c}21\\ 12\end{array}\right)$$$$1)\mathrm{calculate}{\mathrm{A}}^{\mathrm{n}}$$$$2)\mathrm{determine}\mathrm{cosA}\mathrm{and}\mathrm{sinA}$$$$3)\mathrm{find}\mathrm{chA}\mathrm{and}\mathrm{shA}$$ Commented by bachamohamed last updated…

Question Number 99819 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{sove}\mathrm{sinx}{\mathrm{y}}^{{}^{\prime }}-\cos \left(2\mathrm{x}\right)\mathrm{y}={\mathrm{xe}}^{-\mathrm{x}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 34263 by math khazana by abdo last updated on 03/May/18 $$calculateI={\int }_0^{\mathrm{\infty }}\frac{dx}{(1+x^2)(1+x^n)}and$$$${J}\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\frac{{x}^{{n}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{{n}} \right)}{dx}\:{with}\:{n}\:{integr}\:>\mathrm{0} \…

Question Number 34226 by abdo imad last updated on 03/May/18 $$let{u}_n={(n+1)}^{\frac{n+1}{n}}-n^{\frac{n}{n-1}}$$$$find{lim}_{n\to +\mathrm{\infty }}{u}_n$$ Commented by abdo mathsup 649 cc last…